Example 6.2 For the next example, we consider the sequence \({a}=(3,1,1,1,\ldots )\) . This sequence was studied by Mañibo, Rust, and Walton in [1]}. This sequence gives rise to alternative values \(\mu _*\)  and \(\lambda _*\)  as well, but \(\lambda _*\)  is not an eigenvalue of \(A\)  and does not appear in the counting function \(\#_{a}(n)\) .
